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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 311696.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.o1 | 311696o1 | \([0, 1, 0, -6304408832, -192728787183308]\) | \(-31561336767775878870433/10701003643411522\) | \(-9395630762306014734036508672\) | \([]\) | \(372252672\) | \(4.3394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696.o do not have complex multiplication.Modular form 311696.2.a.o
sage: E.q_eigenform(10)