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SageMath
E = EllipticCurve("he1")
E.isogeny_class()
Elliptic curves in class 302400he
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302400.he1 | 302400he1 | \([0, 0, 0, -1350, 6750]\) | \(13824/7\) | \(137781000000\) | \([]\) | \(248832\) | \(0.82994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302400he1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302400he do not have complex multiplication.Modular form 302400.2.a.he
sage: E.q_eigenform(10)