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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 12480dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12480.dd1 | 12480dd1 | \([0, 1, 0, -265, 2525]\) | \(-32278933504/27421875\) | \(-1755000000\) | \([]\) | \(6720\) | \(0.47143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12480dd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12480dd do not have complex multiplication.Modular form 12480.2.a.dd
sage: E.q_eigenform(10)