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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 9680.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9680.e1 | 9680b1 | \([0, -1, 0, 27064, 29493136]\) | \(453962/78125\) | \(-377271630560000000\) | \([]\) | \(88704\) | \(2.0519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9680.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9680.e do not have complex multiplication.Modular form 9680.2.a.e
sage: E.q_eigenform(10)