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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 94136.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94136.c1 | 94136e1 | \([0, 1, 0, -42845888, -107961596555]\) | \(-68086393504000/343\) | \(-43821269657416048\) | \([]\) | \(4670064\) | \(2.8128\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94136.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 94136.c do not have complex multiplication.Modular form 94136.2.a.c
sage: E.q_eigenform(10)