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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 12696.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12696.l1 | 12696c1 | \([0, -1, 0, -4850577, 4114201653]\) | \(-1190106112/243\) | \(-2577060409578676992\) | \([]\) | \(485760\) | \(2.5302\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12696.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12696.l do not have complex multiplication.Modular form 12696.2.a.l
sage: E.q_eigenform(10)