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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 7056l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7056.d1 | 7056l1 | \([0, 0, 0, -252, -1540]\) | \(-5225472\) | \(-338688\) | \([]\) | \(1920\) | \(0.061805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7056l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7056l do not have complex multiplication.Modular form 7056.2.a.l
sage: E.q_eigenform(10)