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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 363090dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363090.dh1 | 363090dh1 | \([1, 0, 1, -12698022300913, 17859055810288145156]\) | \(-1924614389270758801170113620446515123449/57368590462870627697502749640000000\) | \(-6749357299366266477983500992396360000000\) | \([]\) | \(38947184640\) | \(6.4208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363090dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 363090dh do not have complex multiplication.Modular form 363090.2.a.dh
sage: E.q_eigenform(10)