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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 3696e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3696.l1 | 3696e1 | \([0, -1, 0, -1660, -26417]\) | \(-31636584484096/1331669031\) | \(-21306704496\) | \([]\) | \(2880\) | \(0.74844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3696e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3696e do not have complex multiplication.Modular form 3696.2.a.e
sage: E.q_eigenform(10)