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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 46200.dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46200.dh1 | 46200bn1 | \([0, 1, 0, -35208, -21768912]\) | \(-241340450/10085229\) | \(-201704580000000000\) | \([]\) | \(604800\) | \(2.0006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200.dh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46200.dh do not have complex multiplication.Modular form 46200.2.a.dh
sage: E.q_eigenform(10)