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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 4312.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4312.l1 | 4312f1 | \([0, 0, 0, -196, -1372]\) | \(-27648/11\) | \(-331299584\) | \([]\) | \(2880\) | \(0.34374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4312.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4312.l do not have complex multiplication.Modular form 4312.2.a.l
sage: E.q_eigenform(10)