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SageMath
E = EllipticCurve("lh1")
E.isogeny_class()
Elliptic curves in class 310464.lh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 310464.lh1 | 310464lh1 | \([0, 0, 0, -3009972, 2010026648]\) | \(-34339609640704/916839\) | \(-80520934002195456\) | \([]\) | \(4423680\) | \(2.3489\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.lh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.lh do not have complex multiplication.Modular form 310464.2.a.lh
sage: E.q_eigenform(10)