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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 59248v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59248.c1 | 59248v1 | \([0, 1, 0, -3451372, 2466819144]\) | \(-226796578768/2401\) | \(-48134316968878336\) | \([]\) | \(1324800\) | \(2.3572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59248v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59248v do not have complex multiplication.Modular form 59248.2.a.v
sage: E.q_eigenform(10)