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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 331056.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331056.e1 | 331056e1 | \([0, 0, 0, -697892547, -10936260539710]\) | \(-58730058813042529/46734803730432\) | \(-29913648122666644530977046528\) | \([]\) | \(298045440\) | \(4.1624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331056.e do not have complex multiplication.Modular form 331056.2.a.e
sage: E.q_eigenform(10)