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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 70560.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70560.v1 | 70560ch1 | \([0, 0, 0, 172872, 19092752]\) | \(18289152/15625\) | \(-488117230272000000\) | \([]\) | \(516096\) | \(2.0817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70560.v do not have complex multiplication.Modular form 70560.2.a.v
sage: E.q_eigenform(10)