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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 94640.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94640.e1 | 94640dg1 | \([0, 0, 0, -35152, -13252304]\) | \(-1437696/21875\) | \(-73089472601600000\) | \([]\) | \(1560000\) | \(1.9173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94640.e do not have complex multiplication.Modular form 94640.2.a.e
sage: E.q_eigenform(10)