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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 103428a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 103428.v1 | 103428a1 | \([0, 0, 0, -624, -7020]\) | \(-23003136/4913\) | \(-5739012864\) | \([]\) | \(60480\) | \(0.59383\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103428a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103428a do not have complex multiplication.Modular form 103428.2.a.a
sage: E.q_eigenform(10)